Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114s |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17238714192208656 = 24 · 34 · 712 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101872,10761281] |
[a1,a2,a3,a4,a6] |
Generators |
[287:2151:1] |
Generators of the group modulo torsion |
j |
993802845830257/146526652944 |
j-invariant |
L |
6.1877034454194 |
L(r)(E,1)/r! |
Ω |
0.37368340157748 |
Real period |
R |
4.1396697172649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72912cz2 27342i2 1302o2 |
Quadratic twists by: -4 -3 -7 |